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Finding the Third Proportional to 48,664.13 and 107,895.38

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Solution

The third proportional to 48,664.13 and 107,895.38 is: 239,219.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,664.13 : 107,895.38 = 107,895.38 : x
  2. Step 2: Convert to fraction form
    48,664.13/107,895.38 = 107,895.38/x
  3. Step 3: Cross multiply
    48,664.13x = 107,895.38 × 107,895.38
  4. Step 4: Simplify right side
    48,664.13x = 11,641,411,946.39
  5. Step 5: Solve for x
    x = 11,641,411,946.39/48,664.13
  6. Step 6: Final answer
    x = 239,219.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.